Vibrations of Sandwich Panels with Pyramidal Truss Cores

Abstract:

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This paper is disserted to the vibrations of the sandwich panels with pyramidal truss
cores. Firstly, based on the Hamilton principle the governing equations of a sandwich panel with
pyramidal truss cores are obtained and the eigenfrequencies of the sandwich panel is studied. Then
the dynamic response of the sandwich subjected to uniformly distributed sinusoidal loading is
studied. The influences of the sizes of the panel on the eigenfrequencies of the panel are discussed.
The maximum deflections of the panels of equal mass subjected to the same loading are compared.

Abstract: In this study, after a brief introduction to recent investigations on syntactic foam, the free vibration of sandwich structures with syntactic foam as a functionally graded flexible core based on higher order sandwich panel theory is investigated. The formulation uses the classical beam theory for the face sheets and an elasticity theory for the functionally graded core. In the following a numerical study of free vibration of a simply-supported sandwich beam is carried out and corresponding eigenmodes are obtained.

Abstract: The resistance of metallic sandwich plates to blast loading is studied in this work. Two typical cores, i.e. trapezoidal plate core and metallic foam core are considered in the analysis. The normal and longitudinal compressive stresses of the trapezoidal plate core are analytically and numerically obtained. Large deflection and resistance of metallic sandwich plates to blast loading are numerically analyzed. The results are compared with that of monolithic solid plates made of the same material and having equivalent weight. It is shown that the well-designed sandwich plates possess higher resistance to blast loading than monolithic solid plates.

Abstract: Electrorheological (ER) fluids are a kind of smart material whose rheological properties can be controlled by an external electric field. In the present paper, the transient vibration of a rectangular three layer sandwich plate with electrorheological fluid core is analyzed based on the classical plate theory. The Bingham plastic model is used to consider the post-yield behavior of ER fluid. The structure is modeled using a finite element method. Hamilton’s principle is employed to derive the finite element equations of motion. The constant average acceleration scheme is used to integrate the equations of motion. The effects of change in electric field and core thickness on the structure settling time and its natural frequencies are studied for various boundary conditions. The results show that the thickness of the core layer and the electric field strength has significant effects on damping behavior of the sandwich plate. When the applied electric field increases a linear decay in transient response of the structure is observed. It is also found that the electric field changes have no influence on the system natural frequencies.

Abstract: The theory of natural frequencies were acquired from vibration experiment, meanwhile, the first order frequencies of honeycomb sandwich structure composites were obtained by using the sandwich laminboard theory and equivalent panel theory via the finite element software ANSYS. The simulation results were compared to the experiment results to get the error of calculation of the two different equivalent methods, thereby we can select more appropriate equivalent method to ensure the veracity of the result analysis and provide a reference for the optimization design of the fiber-paper honeycomb sandwich structure composites.

Abstract: In this paper, effects of adding a distributed attached mass added to the face sheets of sandwich panels on free vibration of the system are investigated. Higher order equivalent single layer (ESL) theory is expanded and used. Mass Inertias of the distributed attached mass are taking into account. Various design parameters including geometrical and material properties, such as density, thickness of the attached mass and the panel are investigated to show the decreasing effect on the fundamental natural frequency of the system due to the adding of the distributed attached mass.